Might come in handy sometime.
The next time a case head separation leaves the forward end of a cartridge in the chamber of your rifle, try this simple removal tip. Use a brass or steel wire bore brush small enough to fit into the back of the broken shell, but large enough so that the bristles expand when you try to withdraw the brush. In many cases, a .45 cal. brush works well. Put the brush on your cleaning rod, remove the bolt of the rifle, and push the brush into the chamber. Pull back and the shell should come out. If the rifle is a semi-auto, try using just the brush, and grasp the end of it at a right angle with a small pair of locking jaw pliers.
And if it does happen, it will not be at home,near a gunsmith etc.